Mirrored simple colored material doesn't render while BGE game
This is problem with normals orientation.
Object is composed of multiple non-manifold meshes. There is one selected on the screenshot below and moved away, it's a wall while as I understand windows were left in place:  



In this case Blender won't distinguish what is inside and what is outside so recalculating won't work here. Best solution in the long run is to remodel. This would allow easier selecting, adding details if any etc.
Fast and dirty solution though, if time is important and if the building isn't going to be visible from inside or from close distance, is to flip normals manually in places where you want them to be inside. Select a face, run Select Linked (Ctrl+L) and flip normals inside. You can enable Backface Culling in the Properties shelf to see which faces require repair.